document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=54556>Question 54556</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a taste test between two brands of cereal, 1199 votes were cast. If 25 voters had switched their votes from the winner to the loser, the loser would have won by 5 votes.  How many votes did each cereal actually receive? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #36827 by </B><A HREF=/tutors/aboutme.mpl?userid=Paul><B>Paul(988)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Paul><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=36827\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x be the winner votes and y be the loser's votes<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "x+y=1199<BR>\n" );
document.write( "y=1199-x<BR>\n" );
document.write( "EQUATION 2:<BR>\n" );
document.write( "5+(x-25)=y+25<BR>\n" );
document.write( "Subsitute for y:<BR>\n" );
document.write( "x-20=(1199-x)+25<BR>\n" );
document.write( "2x=1244<BR>\n" );
document.write( "x=622<BR>\n" );
document.write( "y=1199-622<BR>\n" );
document.write( "y=577<BR>\n" );
document.write( "Hence, there were 622 winner votes and 577 loser's votes<BR>\n" );
document.write( "Paul. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );